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Finding the Fourth Proportional to 447,303.10, 617,232.19 and 265,980

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Solution

The fourth proportional to 447,303.10, 617,232.19 and 265,980 is: 367,024.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,303.10 : 617,232.19 = 265,980 : x
  2. Step 2: Convert to fraction form
    447,303.10/617,232.19 = 265,980/x
  3. Step 3: Cross multiply
    447,303.10x = 617,232.19 × 265,980
  4. Step 4: Simplify right side
    447,303.10x = 164,171,417,896.20
  5. Step 5: Solve for x
    x = 164,171,417,896.20/447,303.10
  6. Step 6: Final answer
    x = 367,024.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.